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Finding the Fourth Proportional to 2,560.85, 3,842.24 and 1,327.49

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Solution

The fourth proportional to 2,560.85, 3,842.24 and 1,327.49 is: 1,991.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.85 : 3,842.24 = 1,327.49 : x
  2. Step 2: Convert to fraction form
    2,560.85/3,842.24 = 1,327.49/x
  3. Step 3: Cross multiply
    2,560.85x = 3,842.24 × 1,327.49
  4. Step 4: Simplify right side
    2,560.85x = 5,100,523.74
  5. Step 5: Solve for x
    x = 5,100,523.74/2,560.85
  6. Step 6: Final answer
    x = 1,991.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.